On the Capacity Achieving Input of Amplitude Constrained Vector Gaussian Wiretap Channel
Document Type
Conference Proceeding
Publication Date
1-1-2022
Abstract
This paper studies secrecy-capacity of an n-dimensional Gaussian wiretap channel under the peak-power constraint. This work determines the largest peak-power constraint Rn such that an input distribution uniformly distributed on a single sphere is optimal; this regime is termed the low amplitude regime. The asymptotic of Rn as n goes to infinity is completely characterized as a function of noise variance at both receivers. Moreover, the secrecy-capacity is also characterized in a form amenable for computation. Furthermore, several numerical examples are provided, such as the example of the secrecy-capacity achieving distribution outside of the low amplitude regime.
Identifier
85136123917 (Scopus)
ISBN
[9781665421591]
Publication Title
IEEE International Symposium on Information Theory Proceedings
External Full Text Location
https://doi.org/10.1109/ISIT50566.2022.9834274
ISSN
21578095
First Page
850
Last Page
855
Volume
2022-June
Recommended Citation
Favano, Antonino; Barletta, Luca; and Dytso, Alex, "On the Capacity Achieving Input of Amplitude Constrained Vector Gaussian Wiretap Channel" (2022). Faculty Publications. 3368.
https://digitalcommons.njit.edu/fac_pubs/3368
